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Finding the Fourth Proportional to 3,225.28, 4,837.76 and 1,891.82

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Solution

The fourth proportional to 3,225.28, 4,837.76 and 1,891.82 is: 2,837.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,225.28 : 4,837.76 = 1,891.82 : x
  2. Step 2: Convert to fraction form
    3,225.28/4,837.76 = 1,891.82/x
  3. Step 3: Cross multiply
    3,225.28x = 4,837.76 × 1,891.82
  4. Step 4: Simplify right side
    3,225.28x = 9,152,171.12
  5. Step 5: Solve for x
    x = 9,152,171.12/3,225.28
  6. Step 6: Final answer
    x = 2,837.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.